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Finding the Fourth Proportional to 255,158.98, 384,467.22 and 211,758.10

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Solution

The fourth proportional to 255,158.98, 384,467.22 and 211,758.10 is: 319,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,158.98 : 384,467.22 = 211,758.10 : x
  2. Step 2: Convert to fraction form
    255,158.98/384,467.22 = 211,758.10/x
  3. Step 3: Cross multiply
    255,158.98x = 384,467.22 × 211,758.10
  4. Step 4: Simplify right side
    255,158.98x = 81,414,046,960.69
  5. Step 5: Solve for x
    x = 81,414,046,960.69/255,158.98
  6. Step 6: Final answer
    x = 319,071.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.